The position of a particle moving to the right on the xaxis is given by x(t), where x (t) is measured in inches and t is measured in minutes for 0 following would most likely give the best estimate of the speed of the particle, in inches per minute, at
time t = 20 minutes?
If
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r (20)
he
4
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0
211 - (19
Submit
(t)x
measured in inches and tt is measured in minutes for Osts 1000st...

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

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